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Finding the Fourth Proportional to 1,857,709.60, 2,786,564.40 and 1,662,847.90

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Solution

The fourth proportional to 1,857,709.60, 2,786,564.40 and 1,662,847.90 is: 2,494,271.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857,709.60 : 2,786,564.40 = 1,662,847.90 : x
  2. Step 2: Convert to fraction form
    1,857,709.60/2,786,564.40 = 1,662,847.90/x
  3. Step 3: Cross multiply
    1,857,709.60x = 2,786,564.40 × 1,662,847.90
  4. Step 4: Simplify right side
    1,857,709.60x = 4,633,632,760,754.76
  5. Step 5: Solve for x
    x = 4,633,632,760,754.76/1,857,709.60
  6. Step 6: Final answer
    x = 2,494,271.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.